The prospects of an X-ray free electron laser using stimulated resonance transition radiation

Spontaneous and stimulated emission from quasifree electrons

“…The simplest examples to consider are those in which the electrons and the radiation propagate in transversely uniform (laminated) periodic structures, as is the case in many of the radiation effects and devices under consideration, as, for instance, in magnetic bremsstrahlung FEL (Elias et al, 1976), coherent bremsstrahlung (Uberal, 1956;Walker et al y 1975), and coherent transition radiation (Piestrup and Finman, 1983). In all of these cases <S k is given by Eq.…”

“…The electrons in these structures are basically free, and only the radiation field is perturbed. This class includes radiation effects such as Cerenkov radiation (Jelly, 1958;Coleman and Enderby, 1960;Ulrich, 1967;Piestrup et al, 1973;Felch et al, 1981;Kimura et al, 1982;Von Laven et al, 1982), Smith-Purcell radiation (Smith and Purcell, 1953;Salisbury, 1970;Bachheimer, 1972;Van den Berg, 1973;Burdette and Hughes, 1976;Gover et al, 1984), and coherent transition radiation (Chu et al, 1980Piestrup and Finman, 1983;Datta and Kaplan, 1985), and devices such as the Traveling-Wave Amplifier (a microwave electron tube; see Pierce, 1950) and the Orotron (a 20-mm-wavelength tube; see Rusin and Bogomolov, 1969;Mizuno et al, 1973;Korneyenkov and Shestopalov, 1977;Wortman et al, 1981). Such radiation effects were also considered with semiconductor carriers propagating in structures with periodic perturbation of the index of refraction (Solimar and Ash, 1966;Sumi, 1966;Gover et al, 1974;Gover and Yariv, 1975).…”

Superradiant and stimulated-superradiant emission in prebunched electron-beam radiators. II. Radiation enhancement schemes

“…=d. The enhancement factor (16) is found in this case to be identical to the number of zigzag reflections: N zz 1=2 L=d 2 . In another practical example-the fundamental linearly polarized hybrid mode of a (corrugated) circular cross-section waveguide of diameter d, jE qx rj J 0 2ur=d (where u 2:405 is the first zero of the zero order Bessel function), the effective crosssection area is [18] A emq 0:27d=2 2 and k ?…”

“…Consequently, the spectral emission energy grows, in general, in proportion to L 2 : in PB-FEL, proportionally to the number of undulator periods (N w ) squared; in periodic transition radiation [16], proportionally to the number of plates squared; in Cerenkov radiation, proportionally to the length of the dielectric material L squared, and so on.…”

Diffraction phenomena in spontaneous and stimulated radiation by relativistic particles in crystals (Review)

“…Recently, the construction of X-ray generator by using channeled electron beams in crystals was also considered in [145][146][147][148][149] and on the basis of resonance transition radiation in [150,151]. The possibility of using crystal as a resonator which produces one-dimensional distributed feedback for X-ray coherent generator was 96 fIrstly expressed in [152].…”